Search a number
-
+
157993983 = 36724423
BaseRepresentation
bin10010110101011…
…00101111111111
3102000021221000000
421122230233333
5310421301413
623402205343
73625632600
oct1132545777
9360257000
10157993983
1181202244
1244ab3853
132696a684
1416da9da7
15dd0d073
hex96acbff

157993983 has 42 divisors (see below), whose sum is σ = 275619624. Its totient is φ = 90261864.

The previous prime is 157993963. The next prime is 157993993. The reversal of 157993983 is 389399751.

It is not a de Polignac number, because 157993983 - 26 = 157993919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157993963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 33510 + ... + 37932.

It is an arithmetic number, because the mean of its divisors is an integer number (6562372).

Almost surely, 2157993983 is an apocalyptic number.

157993983 is a deficient number, since it is larger than the sum of its proper divisors (117625641).

157993983 is an frugal number, since it uses more digits than its factorization.

157993983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4433 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 157993983 is about 12569.5657442889. The cubic root of 157993983 is about 540.6051549088.

The spelling of 157993983 in words is "one hundred fifty-seven million, nine hundred ninety-three thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 4423 5103 11907 13269 30961 35721 39807 92883 119421 216727 278649 358263 650181 835947 1074789 1950543 2507841 3224367 5851629 7523523 17554887 22570569 52664661 157993983